Details

analyze169.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	7	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Symmetry

sort(x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_5232`
1×	`sum-log_binary64_5284` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3-+_binary64_5196` `*-un-lft-identity_binary64_5193` `flip-+_binary64_5167` `+-commutative_binary64_5123`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

Compiler

Compiled 178 to 40 computations (77.5% saved)

series101.0ms (4.5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

95.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4921	247
1	4921	247

prune16.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 226 to 59 computations (73.9% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x))))
3.0b	(-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))
7.6b	(.f64 (.f64 y y) (*.f64 x x))
44.0b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))

rewrite214.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`*-un-lft-identity_binary64_5193`
32×	`pow1_binary64_5254`
20×	`times-frac_binary64_5199`
18×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
17×	`distribute-lft-out_binary64_5144`
15×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215`
14×	`pow-prod-down_binary64_5264`
11×	`add-log-exp_binary64_5232`
10×	`unpow-prod-down_binary64_5272`
8×	`prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
5×	`associate-/l*_binary64_5138`
4×	`associate-/r*_binary64_5137` `pow-prod-up_binary64_5263` `pow-plus_binary64_5256`
3×	`flip3-+_binary64_5196` `flip-+_binary64_5167`
2×	`associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `pow2_binary64_5274` `pow-sqr_binary64_5166` `diff-log_binary64_5285` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159` `sum-log_binary64_5284` `associate-+r+_binary64_5125`
1×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190` `unswap-sqr_binary64_5161` `associate-l_binary64_5134` `associate-r_binary64_5133` `*-commutative_binary64_5124` `flip3--_binary64_5197` `flip--_binary64_5168` `associate-+r-_binary64_5127` `+-commutative_binary64_5123`

Counts

4 → 102

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))
9.0ms	(.f64 (.f64 y y) (*.f64 x x))
8.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x))))
6.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))

Compiler

Compiled 3669 to 1992 computations (45.7% saved)

series764.0ms (33.7%)

Error

Counts

4 → 42

Calls

4 calls:

320.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))
172.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))
153.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x))))
81.0ms	(.f64 (.f64 y y) (*.f64 x x))

Compiler

Compiled 1716 to 1397 computations (18.6% saved)

simplify97.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5009	3511

prune190.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

Counts

146 → 2

Compiler

Compiled 3920 to 2163 computations (44.8% saved)

regimes65.0ms (2.9%)

Accuracy

Total 0.0b remaining (17.9%)

Threshold costs 0.0b (17.9%)

Compiler

Compiled 345 to 295 computations (14.5% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

Removed

((sort x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample506.0ms (22.3%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 78 to 66 computations (15.4% saved)

Details

analyze169.0ms (7.4%)

sample19.0ms (0.8%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite12.0ms (0.5%)

series101.0ms (4.5%)

simplify82.0ms (3.6%)

prune16.0ms (0.7%)

localize14.0ms (0.6%)

rewrite214.0ms (9.4%)

series764.0ms (33.7%)

simplify97.0ms (4.3%)

prune190.0ms (8.4%)

regimes65.0ms (2.9%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample506.0ms (22.3%)

Profiling